Numerical Simulation of Oscillatory Convection on Low-Pr Fluids

A GAMM Workshop

  • Bernard Roux

Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 27)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Bernard Roux
      Pages 1-2
  3. Benchmark Definition

    1. Bernard Roux
      Pages 3-8
  4. Finite Difference Methods

    1. Front Matter
      Pages 9-9
    2. M. Behnia, G. de Vahl Davis
      Pages 11-18
    3. M. Behnia, G. de Vahl Davis, F. Stella, G. Guj
      Pages 19-24
    4. S. Biringen, G. Danabasoglu, T. K. Eastman
      Pages 35-42
    5. O. Daube, S. Rida
      Pages 43-48
    6. G. Desrayaud, Y. Le Peutrec, G. Lauriat
      Pages 49-56
    7. Nicholas D. Kazarinoff, Joseph S. Wilkowski
      Pages 65-73
  5. Finite Volume Methods

    1. Front Matter
      Pages 161-161
    2. C. Cuvelier, A. Segal, C. Kassels
      Pages 119-127
    3. J. L. Estivalèzes, H. C. Boisson, A. Kourta, P. Chassaing, H. Ha Minh
      Pages 128-135
    4. Camille Gervasio, Alessandro Bottaro, Mohamed Afrid, Abdelfattah Zebib
      Pages 136-143
    5. R. A. W. M. Henkes, C. J. Hoogendoorn
      Pages 144-152
    6. M. C. Ladias-Garcin, D. Grand
      Pages 153-159
  6. Finite Element Methods

  7. Spectral Methods

  8. Synthesis

    1. Front Matter
      Pages 263-263
    2. M. Behnia
      Pages 265-272
    3. R. A. W. M. Henkes, A. Segal
      Pages 273-276
    4. R. L. Sani
      Pages 277-280
    5. M. O. Deville
      Pages 281-284
    6. B. Roux, G. de Vahl Davis, M. Deville, R. L. Sani, K. H. Winters
      Pages 285-303
  9. Stability Results

    1. Front Matter
      Pages 305-305
  10. Experimental Results

    1. Front Matter
      Pages 327-327
    2. Ming-Cheng Hung, C. David Andereck
      Pages 338-343
    3. T. M. Wang, S. A. Korpela, M. C. Hung, C. D. Andereck
      Pages 344-353
  11. Conclusions

    1. Front Matter
      Pages 355-355

About this book


For the last ten years, there has been an ever-increasing awareness that fluid motion and transport processes influenced by buoyancy are of interest in many fields of science and technology. In particular, a lot of research has been devoted to the oscillatory behaviour of metallic melts (low-Pr fluids) due to the very crucial impact of such flow oscillations on the quality of growing crystals, semi-conductors or metallic alloys, for advanced technology applications. Test cases on the 2D oscillatory convection in differentially heated cavities containing low-Pr fluids have been defined by the organizing committee, and proposed to the community in 1987. The GAMM-Worshop was attended by 55 scientists from 12 countries, in Oct. 1988 in Marseille (France). Twenty-eight groups contributed to the mandatory cases coming from France (12), other European countries (7) and other countries: USA, Japan and Australia (9). Several groups also presented solutions of various related problems such as accurate determination of the threshold for the onset of oscillations, thermocapillary effect in open cavities, and 3D simulations. Period doubling, quasi- periodic behaviour, reverse transition and hysteresis loops have been reported for high Grashof numbers in closed cavities. The workshop was also open to complementary contributions (5), from experiments and theory (stability and bifurcation analysis). The book contains details about the various methods employed and the specific results obtained by each contributor.


3D graphics algorithms bifurcation convection fields finite element method metals oscillation simulation stability

Editors and affiliations

  • Bernard Roux
    • 1
  1. 1.Université d’Aix-Marseille IIMarseilleFrance

Bibliographic information

  • DOI
  • Copyright Information Springer Fachmedien 1990
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-528-07628-3
  • Online ISBN 978-3-322-87877-9
  • Series Print ISSN 1612-2909
  • Series Online ISSN 1860-0824
  • Buy this book on publisher's site
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